22211011020 has 384 divisors, whose sum is σ = 77406658560. Its totient is φ = 4687441920.

The previous prime is 22211010961. The next prime is 22211011021. The reversal of 22211011020 is 2011011222.

It is a super-2 number, since 2×22211011020² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22211010987 and 22211011005.

It is not an unprimeable number, because it can be changed into a prime (22211011021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9165529 + ... + 9167951.

It is an arithmetic number, because the mean of its divisors is an integer number (201579840).

Almost surely, 2^22211011020 is an apocalyptic number.

22211011020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22211011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38703329280).

22211011020 is an abundant number, since it is smaller than the sum of its proper divisors (55195647540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22211011020 is a wasteful number, since it uses less digits than its factorization.

22211011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22211011020 its reverse (2011011222), we get a palindrome (24222022242).

The spelling of 22211011020 in words is "twenty-two billion, two hundred eleven million, eleven thousand, twenty".